Artículo
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
Autor/es | Domínguez Benavides, Tomás
Lorenzo Ramírez, Josefa |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2004-03-01 |
Fecha de depósito | 2016-09-22 |
Publicado en |
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Resumen | Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets ... Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets of X and T a nonexpansive mapping from C into KC(X) with bounded range. We prove that T has a fixed point. The non-strict Opial condition can be removed if, in addition, T is an 1-χ-contractive mapping. |
Agencias financiadoras | Dirección General de Enseñanza Superior. España Junta de Andalucía |
Identificador del proyecto | BFM-2000 0344-C02-C01
FQM-127 |
Cita | Domínguez Benavides, T. y Lorenzo Ramírez, J. (2004). Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions. Journal of Mathematical Analysis and Applications, 291 (1), 100-108. |
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